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10441012993 is a prime number
BaseRepresentation
bin10011011100101010…
…10011011100000001
3222221122121102012221
421232111103130001
5132340344403433
64444015051041
7516511101055
oct115625233401
928848542187
1010441012993
114478752664
122034810a81
13ca518b6c8
14710961c65
1541197372d
hex26e553701

10441012993 has 2 divisors, whose sum is σ = 10441012994. Its totient is φ = 10441012992.

The previous prime is 10441012969. The next prime is 10441013053. The reversal of 10441012993 is 39921014401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6338866689 + 4102146304 = 79617^2 + 64048^2 .

It is a cyclic number.

It is not a de Polignac number, because 10441012993 - 217 = 10440881921 is a prime.

It is a super-3 number, since 3×104410129933 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10441012903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5220506496 + 5220506497.

It is an arithmetic number, because the mean of its divisors is an integer number (5220506497).

Almost surely, 210441012993 is an apocalyptic number.

It is an amenable number.

10441012993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10441012993 is an equidigital number, since it uses as much as digits as its factorization.

10441012993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10441012993 in words is "ten billion, four hundred forty-one million, twelve thousand, nine hundred ninety-three".